Finding the Fourth Proportional to 3,142.55, 4,713.69 and 802.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,142.55 : 4,713.69 = 802.61 : x
2. Step 2: Convert to fraction form
   3,142.55/4,713.69 = 802.61/x
3. Step 3: Cross multiply
   3,142.55x = 4,713.69 × 802.61
4. Step 4: Simplify right side
   3,142.55x = 3,783,248.84
5. Step 5: Solve for x
   x = 3,783,248.84/3,142.55
6. Step 6: Final answer
   x = 1,203.88